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Finding the Fourth Proportional to 95.12, 131.28 and 77.84

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Solution

The fourth proportional to 95.12, 131.28 and 77.84 is: 107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.12 : 131.28 = 77.84 : x
  2. Step 2: Convert to fraction form
    95.12/131.28 = 77.84/x
  3. Step 3: Cross multiply
    95.12x = 131.28 × 77.84
  4. Step 4: Simplify right side
    95.12x = 10,218.84
  5. Step 5: Solve for x
    x = 10,218.84/95.12
  6. Step 6: Final answer
    x = 107.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.